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Finding the Third Proportional to 343,764 and 738,324

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Solution

The third proportional to 343,764 and 738,324 is: 1,585,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,764 : 738,324 = 738,324 : x
  2. Step 2: Convert to fraction form
    343,764/738,324 = 738,324/x
  3. Step 3: Cross multiply
    343,764x = 738,324 × 738,324
  4. Step 4: Simplify right side
    343,764x = 545,122,328,976
  5. Step 5: Solve for x
    x = 545,122,328,976/343,764
  6. Step 6: Final answer
    x = 1,585,745.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.